48489366730752 has 576 divisors, whose sum is σ = 143844683673600. Its totient is φ = 15732074741760.

The previous prime is 48489366730751. The next prime is 48489366730787. The reversal of 48489366730752 is 25703766398484.

48489366730752 is a `hidden beast` number, since 4 + 8 + 489 + 3 + 6 + 6 + 73 + 0 + 75 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48489366730751) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40644900268 + ... + 40644901460.

It is an arithmetic number, because the mean of its divisors is an integer number (249730353600).

Almost surely, 2^{48489366730752} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48489366730752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71922341836800).

48489366730752 is an abundant number, since it is smaller than the sum of its proper divisors (95355316942848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

48489366730752 is a wasteful number, since it uses less digits than its factorization.

48489366730752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674 (or 1651 counting only the distinct ones).

The product of its (nonzero) digits is 1463132160, while the sum is 72.

The spelling of 48489366730752 in words is "forty-eight trillion, four hundred eighty-nine billion, three hundred sixty-six million, seven hundred thirty thousand, seven hundred fifty-two".